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math.NT2025
Geometric Progressions meet Zeckendorf Representations
Diego Marques, Pavel Trojovsky
Motivated by Erdős' ternary conjecture and by recent work of Cui--Ma--Jiang [``Geometric progressions meet Cantor sets'', \textit{Chaos Solitons Fractals} \textbf{163} (2022), 1125…
math.NT2025
Asymptotic error terms in Bonse-type inequalities
Diego Marques, Pavel Trojovsky
Let denote the -th prime. In 2000, Panaitopol established the inequality for all , where is the prime counting funct…